InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
The value of `sqrt(2)int(sinx)/(sin(x-(pi)/(4)))dx` , isA. `x-log|cos(x-(pi)/(4))||+C`B. `x+log|cos(x-(pi)/(4))|+C`C. `x-log|sin(x-(pi)/(4))|+C`D. `x+log|sin(x-(pi)/(4))|+C` |
|
Answer» Correct Answer - D Let `l=sqrt2 int(sinx)/(sin(x-(pi)/(4)))dx` Put `x-(pi)/(4)=t rArr dx=dt` `therefore" "l=sqrt2 int(sin((pi)/(4)+t)dt)/(sint)` `=sqrt2 int(sin .(pi)/(4)cost+cos.(pi)/(4)sint)/(sint)dt` `=sqrt2 int((1)/(sqrt2)(cost)/(sint)+(1)/(sqrt2))dt` `=int(cot +1)dt=log|sint|+t+C_(1)` `=x +log|sin(x-(pi)/(4))|+C" "[becauseC_(1)-(pi)/(4)=C]` |
|